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Questions and Answers
What does volume refer to in the context of measurements?
What does volume refer to in the context of measurements?
How is the volume of a regular solid calculated?
How is the volume of a regular solid calculated?
Which unit is commonly used to express the volume of liquid?
Which unit is commonly used to express the volume of liquid?
What instrument is typically used to measure the volume of a liquid?
What instrument is typically used to measure the volume of a liquid?
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How should you read the volume measurement for clear liquids in a graduated cylinder?
How should you read the volume measurement for clear liquids in a graduated cylinder?
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In which units is the volume of a regular solid typically expressed?
In which units is the volume of a regular solid typically expressed?
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What is the formula to calculate the volume of a regular solid with known length, width, and thickness?
What is the formula to calculate the volume of a regular solid with known length, width, and thickness?
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If a cube has an edge length of 5 cm, what is its volume?
If a cube has an edge length of 5 cm, what is its volume?
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A cylindrical container has a radius of 3 cm and a height of 10 cm. What is its volume in milliliters?
A cylindrical container has a radius of 3 cm and a height of 10 cm. What is its volume in milliliters?
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If a rectangular tank is 2 m long, 1.5 m wide and 1 m deep, what is its maximum capacity in liters?
If a rectangular tank is 2 m long, 1.5 m wide and 1 m deep, what is its maximum capacity in liters?
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An irregular solid displaces 250 mL of water when submerged. What is its volume?
An irregular solid displaces 250 mL of water when submerged. What is its volume?
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A cube has a volume of 64 cm³. What is the length of one of its edges?
A cube has a volume of 64 cm³. What is the length of one of its edges?
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If a solid object with a mass of 3.5 g has a volume of 2 cc, what is its density?
If a solid object with a mass of 3.5 g has a volume of 2 cc, what is its density?
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An irregularly shaped object is immersed in 50 mL of water in a graduated cylinder, causing the water level to rise to 58 mL. What is the volume of the object?
An irregularly shaped object is immersed in 50 mL of water in a graduated cylinder, causing the water level to rise to 58 mL. What is the volume of the object?
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If an object with a density of 0.8 g/cc is placed in water, what will happen?
If an object with a density of 0.8 g/cc is placed in water, what will happen?
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A solid cube with an edge length of 4 cm is immersed in a graduated cylinder containing 100 mL of water. If the new water level reads 124 mL, what is the density of the cube?
A solid cube with an edge length of 4 cm is immersed in a graduated cylinder containing 100 mL of water. If the new water level reads 124 mL, what is the density of the cube?
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A solid sphere with a radius of 3 cm is immersed in a graduated cylinder containing 200 mL of water. If the new water level reads 230 mL, what is the density of the sphere?
A solid sphere with a radius of 3 cm is immersed in a graduated cylinder containing 200 mL of water. If the new water level reads 230 mL, what is the density of the sphere?
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If an object with a volume of 10 cc and a mass of 25 g is placed in a graduated cylinder containing 150 mL of water, what will be the new water level?
If an object with a volume of 10 cc and a mass of 25 g is placed in a graduated cylinder containing 150 mL of water, what will be the new water level?
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Study Notes
Volume of a Regular Solid
- Volume is the amount of space an object occupies.
- Volume of a regular solid is obtained by multiplying its length, width, and thickness.
- Volume is expressed in cubic units (e.g. cubic meter, cubic cm).
Volume of a Liquid
- Liquid volume is measured in cubic meters or liters (L).
- Graduated cylinder is used to measure the volume of a liquid.
- When reading the measurement of a clear liquid, read the lower meniscus.
- When reading the measurement of a colored liquid, read the upper meniscus.
- 1 dm³ = 1 liter (L) and 1 cm³ = 1 milliliter (mL).
Volume of an Irregular Solid
- An irregular solid is one where a dimension cannot be measured in a single straight line.
- The displacement method is used to determine the volume of irregular solids.
- The displacement method involves filling a container with water, putting the object in the container, and catching the overflow to get the volume of the overflow.
Density
- Density is the mass of an object per unit volume.
- Substances differ in their densities, and each substance has a specific density.
- Density is calculated using the formula: D = Mass / Volume (g/cc).
- Materials with a density less than 1 g/cc (density of water) will float on water, and those with a density greater than 1 g/cc will sink.
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Description
Test your understanding of calculating the volume of irregular solids using the displacement method. Learn how Archimedes determined the volume of objects by water displacement. Practice calculating volume based on given dimensions of a wooden block.